Internet connections can be quite asymmetrical. I have a 32 MBit/s downlink, but only 1 MBit/s up. That makes updating data on my tablet with data from home painfully slow unless I am at home. For me, a fast peer that I don't need to trust is pretty helpful.
But apart from speed and redundancy, I also hope for economy of scale. If there were a small market where several hosters offer peered hosts with X GB for $Y/month, it could drive costs down for everyone. Dropbox is asking for $0.10/GB/mon, which is about twice as high as it could be if the market were efficient.
Likely also for data redundancy if you only have 1 computer (or if all your computers/peers are in one building the untrusted peers could be your 'offsite backup' of sorts).